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Finding the Fourth Proportional to 678.54, 1,017.47 and 483.43

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Solution

The fourth proportional to 678.54, 1,017.47 and 483.43 is: 724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.54 : 1,017.47 = 483.43 : x
  2. Step 2: Convert to fraction form
    678.54/1,017.47 = 483.43/x
  3. Step 3: Cross multiply
    678.54x = 1,017.47 × 483.43
  4. Step 4: Simplify right side
    678.54x = 491,873.10
  5. Step 5: Solve for x
    x = 491,873.10/678.54
  6. Step 6: Final answer
    x = 724.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.